In the 30-60-90 triangle below, side s has a length of ____ and the
hypotenuse has a length of

In The 30-60-90 Triangle Below, Side S Has A Length Of ____ And Thehypotenuse Has A Length Of

Answers

Answer 1

Answer:

D

Step-by-step explanation:

1×2=2

1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]

Answer 2

The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.

We know that, tanθ=Opposite/Adjacent

So, tan30°=1/s

1/√3 = 1/s

s=√3

We know that, sinθ=Opposite/Hypotenuse

sin30°=1/h

1/2 = 1/h

h=2

Therefore, option D is the correct answer.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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Related Questions

can someone answer number 11 and show the work? I need it bad, please .

Answers

Answer: 8

Evaluating the function for x = -1

[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]

help me pleaseeee due in one minute

Answers

Answer:

The anwer is 1/2

[tex]P=N_Y/Total=3/6=1/2[/tex]

umm what are the answers for :
21% of 36570
12.2% of 640
87.5% of 860
37.5% of 3200
awwwww pls help meh!!! i need to know asap...please..try help!!...thank u sooo much!!
lu yall..pls help!!!

Answers

Step-by-step explanation:

21% of 36570

21/100 x 36570 = 7679.7

12.2% of 640

12.2/100 x 640 = 78.08

87.5% of 860

87.5/100 x 860 = 752.5

37.5% of 3200

37.5/100 x 3200 = 1200

A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?

Answers

Answer:

2 and half

Step-by-step explanation:

NEED ANSWERS FAST AS CAN, I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 1.Using the following image, find the midpoint of the line by completing the problems below. 2.Given the points (−2,5)and (6,−1)the midpoint is? 3.Given the points (9,−4)and (−5,2)the midpoint is ? 4.Given the points (−2,−5)and (−6,7)the midpoint is...The graph doesn't go with 2-4

Answers

Answer:

Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2

36+4=c^2

distance √40 half of it is √10

So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one

Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).

Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.

First 2 answers are

(4-√10, -√10)

( -5-√20, 2-√20)

Solve for x X+10y=1550

Answers

Answer:

X=1550-10y

Step-by-step explanation:

X+10y=1550

Subtract 10y from each side

X+10y- 10y=1550-10y

X=1550-10y

Answer:

[tex]x = 1550 - 10y[/tex]

Step-by-step explanation:

[tex]x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2 gallongallon of juicejuice. How many cupcups of juicejuice does hehe ​buy?

Answers

Answer:

10 cups

Step-by-step explanation:

He buys 1 pint of juice and 1/2 gallon of juice.

We have to convert pint and gallon to cups and then add them.

1 pint = 2 cups

1 gallon = 16 cups

1/2 gallon = 1/2 * 16 = 8 cups

Therefore,

2 + 8 = 10 cups

Fernando buys 10 cups of juice.

write with fractional exponents. (do not use parentheses)

ASAP ASAP IM REALLY BAD AT ALGEBRA ): !!!!!

Answers

Answer:

4y^3/2

Step-by-step explanation:

The 4 will remain 4 so we'll leave that alone. √y³ can be written as y^3/2. The way I like to remember how to write fractional exponents is that the index of the radical is the denominator of the fractional exponent and the exponent inside the radical is the numerator.

anybody please help me :( I’m so bad with graphing

Answers

Answer:

the correct answer is D

1. What is 7/4 as a mixed number?
A. 17/4
B. 13/4
C. 3/4
D. 11/4

Answers

Answer:

the answer is B

Step-by-step explanation:

actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)

System of Linear Equations

through Elimination
Question #1:

Solve the system of equations. Solve for 'x' and 'y' and show your work.

x- y=7
x + y = 5

Answers

Answer:

X=6

Y= - 1

Step-by-step explanation:

X-y =7

X+y =5 cross - y and y

_______

X+x =7 +5

2x= 12

X= 12/2

X= 6

Replace X in first equation:

X - y =7

6 - y =7

6 - 7 =y

y = - 1

Hope this helps you.. Good Luck!

The revenue from selling xshirts is r(x) = 12x.

The cost of buying x shirts is c(x) = 5x + 20

The profit from selling x shirts is p(x) = r(x)-c(x).

What is P(x)?

A. p(x)=7x+20
B. p(x)=17x-20
C. p(x)=17x+20
D. p(x)=7x-20​

Answers

Answer:

D. [tex]p(x)=7x-20[/tex]

Step-by-step explanation:

[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]

Simply subtract the two functions from each other and simplify to get the result.

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)

Answers

Answer:

a

Step-by-step explanation:

The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the equation is 3. Then the equation of the line is given as,

y = 3x + c

The equation of the line is passing through the point (-3,-5), then the equation of line will be

  y = 3x + c

–5 = 3(–3) + c

–5 = –9 + c

  c = 9 – 5

  c = 4

Then the equation of the line will be

y = 3x + 4

Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.

Then the correct option is A.

More about the equation of line link is given below.

https://brainly.com/question/21511618

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which law would you use to simplify the expression 3^10/3^4

Answers

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer: quotient of powers

Step-by-step explanation:

How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8

Answers

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

I need help with these asap like i’ll fr cashapp you momey if you do it i need it for todayyy wassup?!!

Answers

Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?

Answers

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

The expression sin^-1(4/5) has and infinite number of values. True or false?

Answers

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.

Answers

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

A student says that 5x2=20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Answers

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

A music teacher bought 19 recorders. She
spent a total of $57. Each recorder was
the same price. The equation 19r = 57
can be used to find r, the price of each
recorder in dollars. What was the price
of each recorder?

Answers

Answer:

r = 57/19 = 3

Step-by-step explanation:

In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A?

Answers

Answer:

If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.

also need help for this but dont need to much of a explanation

Answers

Answer:

Slope: 1/2

Step-by-step explanation:

Use rise over run.

Please mark BRAINLIEST! Thanks!

At the gym, Polina put 4 five-pound weights onto a barbell that weighed 22 pounds without any weights on it. If Polina lifted the barbell with both arms, which expression can be used to determine the weight that each arm was lifting?

[(4 × 5) ÷ 2] + 22
(4 × 5) ÷ 2 + 22
[22 + 4 × 5] ÷ 2
22 + (4 × 5) ÷ 2

Answers

Answer:

D. 22+(4×5)÷2

Step-by-step explanation:

Four 5 pound weight=(4×5)

Barbell weighed 22 pounds

={(4×5)+22}

Paulina lifted it with both arms

Both arms=2

{(4*5)+22}/2

It can be rewritten as

22+(4*5)÷2

Need your help Plz help me

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. -0.6

Step-by-step explanation:

-2.1-x=-1.5

-x=0.6

x=-0.6

i hate math bro please help me

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer, (-y, x)

50 pts help pls...

Combine Felix's and Tyler's data. What is the mean of the combined data? Include your calculations as part of your answer. (Hint: Use a shortcut to find the answer.)

Felix

mean = 9.4

median = 7

Tyler

mean = 54

median = 66

Answers

Felix and Tyler means
Mean = (9.4+54)/2= 31,7
Median= (7+66)/2= 36,5

Is this what you are looking for??

PLEASE HELP I AM TIMED PEOPLE
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?

A) a triangle that has the same dimensions as one of the sides of the pyramid
B) a triangle that does not have the same dimensions as one of the sides of the pyramid
C) a parallelogram that is not a rectangle
D) a rectangle

Answers

Answer:

B

Step-by-step explanation:

The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid

Answer: B

Step-by-step explanation:

from this equation, y=12x+1, which of these are true?
the slope is 12
the x intercept is 1
the slope is 1
the y intercept is 12

Answers

Answer:

the slope is 12

Step-by-step explanation:

y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.

Since 12 has replaced m, it is the slope.

Since 1 has replaced b, it is the y-intercept.

"the slope is 12" is the correct answer choice.

The number 72 lies between the perfect squares blank, and blank . So, the square root of 72 lies between the numbers blank, and blank , which means the square root of 72 is blank number.

Answers

Answer:

The perfect squares it lies between are 64 and 81

The answer is 6√2

And it lies between the numbers 8 and 9

Hope this helps.

Answer:

the real answer is 64 -75   8-9

72  is a rational number

Step-by-step explanation:

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